The expression after performing the indicated operation written as trinomial is:
[tex]x^2+5x-8[/tex]
Step-by-step explanation:
Given
(x + 4)(x - 2) + 3x
We have to multiply (x + 4)(x - 2) and then add 3x to it
So,
[tex](x + 4)(x - 2) + 3x\\=[x(x-2)+4(x-2)]+3x\\= (x^2-2x+4x-8)+3x\\=x^2+2x-8+3x[/tex]
Combining alike terms
[tex]=x^2+2x+3x-8\\=x^2+5x-8[/tex]
The expression after performing the indicated operation written as trinomial is:
[tex]x^2+5x-8[/tex]
Keywords: Polynomials, Expressions
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